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Finding the Fourth Proportional to 98,731.80, 148,097.70 and 56,741.40

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Solution

The fourth proportional to 98,731.80, 148,097.70 and 56,741.40 is: 85,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,731.80 : 148,097.70 = 56,741.40 : x
  2. Step 2: Convert to fraction form
    98,731.80/148,097.70 = 56,741.40/x
  3. Step 3: Cross multiply
    98,731.80x = 148,097.70 × 56,741.40
  4. Step 4: Simplify right side
    98,731.80x = 8,403,270,834.78
  5. Step 5: Solve for x
    x = 8,403,270,834.78/98,731.80
  6. Step 6: Final answer
    x = 85,112.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.